Monte-Carlo simulation of the P-E hysteresis and domain switching in ferroelectric Potts lattice

A Monte-Carlo approach based on the Q-state Potts model is developed to sim ulate dynamic hysteresis of ferroelectric Potts lattice against periodic ti me-varying external field E. The dynamic responses of the hysteresis depend ent of frequency omega of applied field and domain size R are studied. The P-E loop exhibits very different patterns in various ranges of frequency. I ts area can be scaled with Omega similar to omega(1/3) at low omega. The re mnant polarization P-r shows a maximal as a function of w. At small domain size, the dynamic hysteresis is significantly compressed, predicting ferroe lectricity weakening effect at small domain size.